Chaotic Dynamics: Theory and Practice: v. 298 (NATO Science Series B: Physics) - Hardcover

Hardcover

ISBN 10: 0306442477 ISBN 13: 9780306442476

Verlag: Springer, 1992

Inhaltsangabe

Chaotic Dynamics: Theory: Complexity, Control and Data Representation: Complexity and Unpredictable Scaling of Hierarchical Structures; R. Badii. Fractals, Multifractals, and Analyticity of Normal Forms: Multifractal Coding Measures in Dynamics; G. Mantica. Integrability, Painlevé Property, and Singularity Analysis: Note on a Complex Eckhaus Equation; M.F. Jorgensen, et al.. Statistical Physics, Celestial Mechanics, and Cosmology: Phase Transitions Within the Fully Developed Regime; R. Kluiving. Chaotic Dynamics: Practice: Controlling Dynamical Systems: Feedback Control of Chaotic Systems; . Romeiras et al.. Semiconductors, Superconductors, Lasers, and Electronic Circuits: Chaotic Dynamics in Practice; E. Del Rio,et al . Biology, Chemistry, Atmospheric, and Magnetospheric Dynamics: Irregular Bursting in Model Neurones; J. Hyde. Hamiltonian Dynamics, Dissipative Dynamics, and Normal Forms. 30 additional articles. Index.

Über diesen Titel

Reseña del editor

These 37 papers are from the multidisciplinary NATO Advanced Study Institute on Chaotic Dynamics held in Patras, Greece, in July 1991. Among the diverse topics discussed were complexity, control and data representation; celestial mechanics and cosmology; controlling dynamical systems; semiconductors

Biografía del autor

Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1992
• Sprache: Englisch
• ISBN 10: 0306442477
• ISBN 13: 9780306442476
• Einband: Tapa dura
• Anzahl der Seiten: 432
• Herausgeber: Bountis T.
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: GPSR Kontakt; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Deutschland